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Showing 2004 · math.COShow all
3 papers · 2 filters
math.CO2004
Permutation statistics on involutions
W. M. B. Dukes
In this paper we look at polynomials arising from statistics on the classes of involutions, , and involutions with no fixed points, , in the symmetric group. Our results…
math.CO2004★ 22 cited
Generating functions for generating trees
Cyril Banderier, Philippe Flajolet, Daniele Gardy +3
Certain families of combinatorial objects admit recursive descriptions in terms of generating trees: each node of the tree corresponds to an object, and the branch leading to the n…
math.CO2004
An iterative-bijective approach to generalizations of Schur's theorem
Sylvie Corteel, Jeremy Lovejoy
We start with a bijective proof of Schur's theorem due to Alladi and Gordon and describe how a particular iteration of it leads to some very general theorems on colored partitions.…